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arXiv · 2401.08293

$C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras

Maria Elena Griseta·Paola Zurlo
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Abstract

We analyse a notion of $C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras. We provide other notions of statistical independence for $\mathbb{Z}_2$-graded von Neumann algebras and prove some relationships between them. We provide a characterization for the graded nuclearity property.

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Maria Elena Griseta, Paola Zurlo. 2024-01-16. $C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras. https://doi.org/10.1007/s43034-025-00434-4

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